Question: Suppose we have a subspace $V$ of $\mathbb{R}^n$ given by a basis $v_1,\ldots,v_k\in\mathbb{R}^n$. Suppose we are given a vector $v\in\mathbb{R}...

This question might have even been asked here before, I don't really know, so sorry if it's duplicate. I've started to study topological sp...

Alright, so i've been trying to tackle this problem. The answer to this problem is 40 degrees (3). Now i'm trying to figure out how. I decided t...

how do you calculate eigenspaces?

I think I don't understand how it works.. I found some proofs.. okay, let's see: Well I'd like to show that the function, $$f(x) = \begin{c...

So I'm trying to solve this problem: Take the derivative of $2^{t^{3}}$ This is the relevant text from my textbook which makes sense to me. The trick...

I've recently started studying discrete mathematics for my computer science degree, and I have a doubt regarding membership and inclusion. I'll ...

I'm asked to find the minimum and maximum values of $f(x, y, z) = x^2+y^2+z^2$ given the constraints $x+2y+z=3$ and $x-y=7$. I'm pretty sure I n...

I have a (circular) segment of known height and known chord length. Is is possible to determine the radius of the circle? Any help much appreciated.

I am working from a textbook that gives us that The derivative of the inverse function is $$ \frac{dx}{dy} = \large{\frac{1}{\frac{dy}{dx}}}.\qquad (*)$$ ...